cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A320257 a(n) = [x^n] 1/(1 + Sum_{k>=1} k^n*x^k).

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%I A320257 #4 Oct 08 2018 18:15:46
%S A320257 1,-1,-3,-12,115,10801,513128,-31622305,-29139002795,-10674262825020,
%T A320257 8501486817673047,49739414341982655313,119603027548636893292304,
%U A320257 -1457935338988787721752835601,-53309412371631686621966575526695,-722987647385617983636099803915844108
%N A320257 a(n) = [x^n] 1/(1 + Sum_{k>=1} k^n*x^k).
%F A320257 a(n) = [x^n] 1/(1 + PolyLog(-n,x)), where PolyLog() is the polylogarithm function.
%t A320257 Table[SeriesCoefficient[1/(1 + Sum[k^n x^k, {k, 1, n}]), {x, 0, n}], {n, 0, 15}]
%t A320257 Table[SeriesCoefficient[1/(1 + PolyLog[-n, x]), {x, 0, n}], {n, 0, 15}]
%Y A320257 Cf. A301655, A316087, A316088.
%K A320257 sign
%O A320257 0,3
%A A320257 _Ilya Gutkovskiy_, Oct 08 2018